On Lie Differentiability Conditions of Some Polynomial Structures in Semi Tangent Bundle
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Gürbüz,
F.
(ed.)
2024.
Current Approaches in Mathematics and Science.
Synopsis
In popular differential geometry, the tensor structures on smooth manifolds are remarkable geometric objects. In reality, every tensor structure is a polynomial structure. A tensor field f of type (1,1) on a differentiable manifold is called a polynomial structure if it satisfies the algebraic equation ( 1) 11.... f n + a1 f (n+1) + …. + an-1 f + anI = 0, where I is the identity tensor of type (1,1) and a1,a2,...,an are real numbers. The Lie differentiability conditions of some polynomial structures (almost contact and almost paracontact structures) in semi-tangent bundle t(M) are examined in this study.
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Copyright (c) 2024 Ferit Gürbüz; Kürşat Akbulut, Furkan Yıldırım, İmran Güneş, Ferit Gürbüz, Gülnur Çağlar, Şükrü Canpolat, Elif Yürümez Canpolat, Bülent Karakaş, Şenay Baydaş, Aya Alebo, Çiğdem İnci Kuzu, Kenan Yıldırım